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A right circular cylinder whose radius ris half of its height

Short Answer

Expert verified

(a) Volume of the circular cylinder whose radius ris half of its height is,V=Ï€³ó34.

(b) Surface area of the circular cylinder whose radius ris half of its height is,S=2Ï€³ó2.

Step by step solution

01

 Part (a) step 1. Given information  

We have to find the volume and surface area of the given figure.

For that, we have been given a circular cylinder whose radius ris half of its height

Therefore,

r=h2

02

Part (a) step 2. The volume of the circular cylinder 

The formula to find the volume of the circular cylinder of radius rand height his,V=Ï€°ù2h

By substituting the value of radius in this equation we get,

V=π×r2×h=π×h22×h=Ï€³ó34

Hence the volume of the circular cylinder whose radius ris half of its height is, V=Ï€³ó34

03

Part (b) step 3. The surface area of the circular cylinder  

The formula to find the surface area of the circular cylinder is, S=2Ï€rh+2Ï€r2

By substituting the value of radius in this equation we get,

S=2×π×h2×h+2×π×h22=π×h2+π×h2=2Ï€³ó2

Hence the surface area of the circular cylinder whose radius ris half of its height is,S=2Ï€³ó2

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